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Creators/Authors contains: "Hawkes, Graham"

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  1. ; ; ; (, Journal of Combinatorial Theory, Series A)
    Full Text Available 
  2. ; ; ; (, Advances in mathematical sciences)
    Acu, B.; Danielli, D.; Lewicka, M.; Pati, A.; Saraswathy, RV; Teboh-Ewungkem, M. (Ed.)
    Accepted Manuscript Full Text Available
  3. ; ; ; (, Algebraic Combinatorics)
    null (Ed.)
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  4. ; ; ; (, Advances in mathematical sciences)
    We provide a characterization of the crystal bases for the quantum queer superalgebra recently introduced by Grantcharov et al. This characterization is a combination of local queer axioms generalizing Stembridge’s local axioms for crystal bases for simply-laced root systems, which were recently introduced by Assaf and Oguz, with further axioms and a new graph G characterizing the relations of the type A components of the queer crystal. We provide a counterexample to Assaf’s and Oguz’ conjecture that the local queer axioms uniquely characterize the queer supercrystal. We obtain a combinatorial description of the graph G on the type A components by providing explicit combinatorial rules for the odd queer operators on certain highest weight elements. 
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